Online GCD Calculator is useful to find the GCD of 340, 153, 900, 152 quickly. Get the easiest ways to solve the greatest common divisor of 340, 153, 900, 152 i.e 1 in different methods as follows.
Given Input numbers are 340, 153, 900, 152
In the factoring method, we have to find the divisors of all numbers
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
GCD of numbers is the greatest common divisor
So, the GCD (340, 153, 900, 152) = 1.
Given numbers are 340, 153, 900, 152
The list of prime factors of all numbers are
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 153 are 3 x 3 x 17
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 152 are 2 x 2 x 2 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 340, 153, 900, 152
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(340, 153) = 3060
GCD(340, 153) = ( 340 x 153 ) / 3060
= 340 / 153
= 340
Step2:
LCM(17, 900) = 15300
GCD(17, 900) = ( 17 x 900 ) / 15300
= 17 / 900
= 17
Step3:
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
= 1 / 152
= 1
So, Greatest Common Divisor of 340, 153, 900, 152 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 340, 153, 900, 152
The greatest common divisor of numbers 340, 153, 900, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 153, 900, 152 is 1.
1. What is the GCD of 340, 153, 900, 152?
GCD of given numbers 340, 153, 900, 152 is 1
2. How to calculate the greatest common divisor of 340, 153, 900, 152?
We can find the highest common divisor of 340, 153, 900, 152 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 340, 153, 900, 152 i.e 1.
3. How can I use the GCD of 340, 153, 900, 152Calculator?
Out the numbers 340, 153, 900, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.